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ENTCS
2007
151views more  ENTCS 2007»
13 years 4 months ago
Coalgebraic Modal Logic Beyond Sets
Polyadic coalgebraic modal logic is studied in the setting of locally presentable categories. It is shown that under certain assumptions, accessible functors admit expressive logi...
Bartek Klin
LOGCOM
2010
82views more  LOGCOM 2010»
13 years 3 months ago
Deduction Systems for Coalgebras Over Measurable Spaces
A theory of infinitary deduction systems is developed for the modal logic of coalgebras for measurable polynomial functors on the category of measurable spaces. These functors ha...
Robert Goldblatt
IFIPTCS
2010
13 years 2 months ago
Convexity, Duality and Effects
This paper describes some basic relationships between mathematical structures that are relevant in quantum logic and probability, namely convex sets, effect algebras, and a new cl...
Bart Jacobs
IANDC
2010
160views more  IANDC 2010»
13 years 1 months ago
Coequational logic for accessible functors
Covarieties of coalgebras are those classes of coalgebras for an endofunctor H on the category of sets that are closed under coproducts, subcoalgebras and quotients. Equivalently,...
Daniel Schwencke
APAL
2008
95views more  APAL 2008»
13 years 4 months ago
The associated sheaf functor theorem in algebraic set theory
Abstract. We prove a version of the associated sheaf functor theorem in Algebraic Set Theory. The proof is established working within a Heyting pretopos equipped with a system of s...
Nicola Gambino